Differentiate: f(x) = x^7 (5 + 8x)^3 * %3D O f (x) = x^2 (5 + 8x)^6 (35 + 80x) O f'(x) = 8x^7 (5+ 8x)^2 (35 + 80x) %3D O f (x) = x^6 (5 + 8x)^2 (35 + 80x) %3D O f'(x) = x^6 (5 + 8x)^3 (35 + 80x) %3D

Q: Evaluate the iterated integral. 3 I7 a+ 5)dy dx 3 8 (x + 5)dy dx = i

A: The given integral,∫03∫08x+5dy dx

Q: a) Let the universal set be the real numbers R and let A {x €R|2< x <7} and B = {x ER | 1 < x < 5}. ...

A: First we find intersection then find compliment

Q: If f(x) = 10x +64 then f'(x) = * 10 О 64 O 10x

A:

Q: cos(2) = - 1 V2 b. sin(x) - 2

A: topic - Inverse trigonometric functions cos x is negative in 2 nd and 3 rd quadrant. sin x is negati...

Q: Solve the given differential equation by separation of variables. dy 5x + 3y dx

A:

Q: I2+10x lim 14 -6x 2+10x lim 14- 6x

A:

Q: e) The expression (B \ (A U B)) N (A \ (BU A)) simplifies to

A: Solution:

Q: Which of the following functions passes through the point(0,12) and satisfies.f"(x)= 8? A f(x)= 12x ...

A: Given:- f'(x) =8 To find:- Functions passes through the point(0,12) and satisfies f'(x) = 8

Q: Oy" +3y + 2y = (1+x) (1 – ¤) O y" +3y +2y = 2 sin a cos r %3D (e +e =) 2y" +3y + 5y = %3D Oy" +2y + ...

A:

Q: numerically equal. (A) 1/8t in. (B 1/4T in. 2πin. D T? in.

A: We will find the radius. 

Q: Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the e...

A:

Q: A cylindrical water tank 6 meters high with a radius of 3 meters is buried so that the top of the ta...

A:

Q: A function is given below, what x value maximizes y? y? +y+x² - 2x = 5 (А) 2.23 В) -1 5 1

A: Let's find. 

Q: An open top rectangular tank with square bases is to have a volume of 10 cubic meters. The material ...

A: Given that, An open top rectangular tank with square bases is to have a volume of 10 cubic meters. T...

Q: 4x 3 5y? 4х +3 %D

A:

Q: Differentiate h(x) = 3x^5/3 - 6x^1/6 + 3x * O h'(x) = 5x^4/3 - 6x + 3 %D O h'(x) = 3x^2/3 - 6x + 3 %...

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Q: Radium decomposes in air at the rate proportional to the present amount. If initially there are 20 g...

A:    We have to find a) Set a model that will predict the amount of radium at any time t. b) What is t...

Q: Evaluate the integral. (Use C for the constant of integration.) 16 In xp (x^ +C

A: Topic:- integration

Q: Evaluate the Integral  ∫(tan^2(x)+tan^4(x)) dx

A:

Q: Find the derivative of the inverse of the given function at the specified point on the graph of the ...

A:

Q: (e + 1)'e-Y dx + (e* + 1)°e* dy = 0 ху + 3х — у — 3 dx ху — 2х + 4у — 8 dy

A:

Q: Solve for the general and particular solution. Underline the roots and constants. 1) y''' - 3y'' + 3...

A: Solve for the general and particular solution. Underline the roots and constants. 1) y''' - 3y'' + 3...

Q: In(x) Differentiate the function F(x) = | cos(e e') dt (for x>0)- 1/x Show and justify your work. (H...

A: The given function is: Fx=∫1xlnxcosetdt To differentiate the given function.

Q: Find the modulus of the given complex number. 7. 10 + 6i

A:

Q: Is {3, 3, 5, 6} E P({1,2,3, 4, 5, 6})? Answer YES or NO.

A: Is { 3,3,5,6} belongs to the power set of {1,2,3,4,5,6} 

Q: Find two complex numbers a + bi in which a 0 V17 and b 0 with a modulus of

A: topic - complex numbers

Q: Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the e...

A: if f(x,y)≥0 then the volume of the solid that lies above the rectangle  R and below the surface z=f(...

Q: A vehicle traavels in a E minutes with a velocity o vCf F108t 9 feet per minute, for Os t<14 struigh...

A: step (2)v(t)=108t-6t2we know thats(t)=∫v(t)dtthe vehicle travel in 11 minutes is given by s(t)=∫0111...

Q: Calculate the dot product of u = (-5,–2,7,–3) and v (-3, 1,5, 8). u • V =

A:

Q: If the sum of two numbers is C, find the minimum value of the sum of their squares. A) c2/6 c2/ 4 c2...

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Q: As the function approaches two, left and right of two do not match As the function approaches two, t...

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Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm a...

A:

Q: (f) Šketch the direction field for dy/dx = x – y by using the method of isoclines or a computer soft...

A: (f) Given that                dydx=x-y Direction Field:                              

Q: What is the 2x - 6 lim x2- x2-4 - 00 00 2/3 8.

A:

Q: Which of the following equations CANNOT be solved using the method of undetermined coefficients? y" ...

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Q: 7. Find y"' of ƒ(x) = 5x* + 4x³ – 7x2 8. Find y* of f(x) = x* – 5x? + 12x – 3

A: Take derivative 3rd time to given function In question (7) and 4th time to given function in questio...

Q: The region bounded by f(x) = is rotated about the y-axis. Find the volume of 2x + 14x + 16, x = 0, a...

A: Given : The Region bounded by             f(x) = –2x² + 14x + 16; x = 0 and y = 0 The volume of the ...

Q: Set up the integral for this one, but then use your calculator to approximate your answer to at leas...

A:

Q: (a) What is the continuous percent growth rate for the function P(t) = 7e0.14t? The continuous perce...

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Q: The divergence and curl of the functionf(r,e,p) = (r sec 0)e, O (4r^(3 ) sec®)er O None of these. (4...

A: Topic:- vector algebra

Q: Use polar coordinates to determine the volume of the given solid. Under the cone z=√x2+y2  and over...

A:

Q: Given the following differential equation: (D² – 4) y = e-3= sin e- Using the method of variation of...

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Q: Which of the following statement is false? Refer to the given graph below. * AF O f(a) exists O fis ...

A:

Q: The value of (i)* is = ... O T/2 O e^(T1/2) O -T/2 O e^(-T1/2)

A: Given;.   i-i.

Q: dy sin 5x dx dx + e* dy = 0

A: First we integration both sides and solve it . Follow 2nd step.

Q: Given the differential equation: y" + 3y' + 2y : =÷+5 Propose an appropriate particular solution. Yp...

A: Given:   Differential equation is given

Q: A condominium is to be be constructed in a rectangular lot with a perimeter of 800 m. What is the la...

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Q: f(x) = x - 6x and g(x): 10x %3D "lot y = f(x) and y = g(x) on the same set of axes. Use a comma to s...

A:

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the...

A: To integrate the given integral.

Q: If the complementary solution to a linear ordinary differential equation is y = c1 + c2x+ c3x² + c4e...

A: